Кореляційні функції зарядженого скалярного поля в зовнішньому некомутативному калібровному полі з групою U(1)
We consider a complex charged scalar field coupled to a constant background non-commutative U(1) gauge field and calculate the correlation function of two gauge-invariant composite operators. This calculation illustrates an interplay between the gauge transformations in gauge theories on noncommutat...
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| Дата: | 2022 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Ukrainian English |
| Опубліковано: |
Publishing house "Academperiodika"
2022
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| Теми: | |
| Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022085 |
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| Назва журналу: | Ukrainian Journal of Physics |
Репозитарії
Ukrainian Journal of Physics| Резюме: | We consider a complex charged scalar field coupled to a constant background non-commutative U(1) gauge field and calculate the correlation function of two gauge-invariant composite operators. This calculation illustrates an interplay between the gauge transformations in gauge theories on noncommutative spaces and a space-time geometry. We show that the noncommutative gauge invariance is restored for higher-order correlators, though the Green's function itself is not invariant. The correlation functions reveal a singular behavior in the case where the Seiberg–Witten map becomes singular; i.e., there is no equivalent commutative description. |
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